Let's divide 27642 by 84
We're looking to find how many times 84 goes into 27642.

Going ahead to step 1:
If we divide 2 by 84, we get 0 and a remainder of 2.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Bring next digit (7) of the dividend behind the 2 and repeat the process: 27 / 84

Let's proceed to step 2:
The number 84 fits into 27 0 times, leaving a remainder of 27.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 27 to get 27.
Append the next digit (6) from the dividend to 27 and continue with: 276 / 84

Let's proceed to step 3:
84 can be fit into 276 3 times, resulting in a remainder of 24.
The next digit of our result is 3. 
Result so far: 3.0
If we take 252 away from 276, we end up with 24.
Bring next digit (4) of the dividend behind the 24 and repeat the process: 244 / 84

Step 4:
84 can be fit into 244 2 times, resulting in a remainder of 76.
Use 2 as the next digit of our solution. 
Result so far: 32.0
The remainder is 76 after subtracting 168 from 244.
Include the next digit (2) from the dividend after 76, then repeat: 762 / 84

Going ahead to step 5:
When dividing 762 by 84, we get 9 with a remainder of 6.
The next digit of our result is 9. 
Result so far: 329.0
Deduct 756 from 762 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 6:
The number 84 fits into 60 0 times, leaving a remainder of 60.
Record the quotient 0 as the next digit in the result. 
Result so far: 329.0
The remainder is 60 after subtracting 0 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 7:
84 goes into 600 7 times with a remainder of 12.
The number 7 becomes the next digit in our result. 
Result so far: 329.07
Subtract 588 from 600 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 8:
84 goes into 120 1 times with a remainder of 36.
Put 1 as the next digit of the answer. 
Result so far: 329.071
Subtract 84 from 120 to get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 9:
360 divided by 84 is 4 with a remainder of 24.
Record the quotient 4 as the next digit in the result. 
Result so far: 329.0714
Deduct 336 from 360 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Advancing to step 10:
When dividing 240 by 84, we get 2 with a remainder of 72.
Record the quotient 2 as the next digit in the result. 
Result so far: 329.07142
If we take 168 away from 240, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 11:
720 divided by 84 is 8 with a remainder of 48.
The number 8 becomes the next digit in our result. 
Result so far: 329.071428
Subtract 672 from 720 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 12:
480 divided by 84 is 5 with a remainder of 60.
Use 5 as the next digit of our solution. 
Result so far: 329.0714285
If we subtract 420 from 480, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 13:
600 divided by 84 is 7 with a remainder of 12.
Record the quotient 7 as the next digit in the result. 
Result so far: 329.07142857
Subtracting 588 from 600 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 329.07142857 with a remaining 1.2e-08.